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146 lines
1.8 KiB
146 lines
1.8 KiB
# mmathlib
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***get repo***
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```bash
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git clone https://code.smolnet.org/micke/mmathlib.git
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cd mmathlib
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```
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***Compile and run***
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**fractions**
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```
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g++ -o fractions fractions.cpp
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```
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*Output*
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```
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./fractions
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7/3=(7/3)
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7/3=2.333333333
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1/11=(1/11)
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1/11=0.09090909091
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(7/3)+(1/11)=(80/33)
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(7/3)+(1/11)=2.424242424
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(7/3)-(1/11)=(74/33)
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(7/3)-(1/11)=2.242424242
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(7/3)*(1/11)=(7/33)
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(7/3)*(1/11)=0.2121212121
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(7/3)/(1/11)=(77/3)
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(7/3)/(1/11)=25.66666667
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0.75=(3/4)
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```
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**Complex numbers**
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```
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g++ -o cnumber cnumber.cpp
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./cnumber
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```
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*Output*
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```
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a = 3+2i
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a* = 3-2i
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a*a* = 13
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b = 4-3i
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b* = 4+3i
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b*b* = 25
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a + b = 7-i
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(a + b)* = 7+i
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a - b = -1+5i
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(a - b)* = -1-5i
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a * b = 18-i
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(a * b)* = 18+i
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a / b = (6/25)+(17/25)i
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(a / b)* = (6/25)-(17/25)i
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```
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**vectors**
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```
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g++ -o vector vector.cpp
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./vector
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```
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*output*
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```
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v:
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| 1 |
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| 2 |
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| i |
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w:
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| 3 |
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| 4 |
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| 5 |
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v + w:
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| 4 |
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| 6 |
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| 5+i |
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v - w:
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| -2 |
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| -2 |
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| -5+i |
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v * w:
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11+5i
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w * i:
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| 3i |
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| 4i |
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| 5i |
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Element 0 of v:
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1
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Element 1 of v:
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2
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Element 2 of v:
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i
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A temp vector of dimension 3
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| 0 |
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| 0 |
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| 0 |
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Assignment of w to k
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| 3 |
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| 4 |
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| 5 |
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Manually set elements of k to elements of v
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| 1 |
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| 2 |
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| i |
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```
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**matrices**
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```
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g++ -o matrix matrix.cpp
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./matrix
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```
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*output*
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```
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The matrix m:
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| 7 | 6+i |
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| 5 | 3 |
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The matrix m roted by one pi radian:
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| 6+i | 3 |
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| 7 | 5 |
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The determinant of matrix m:
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-9-5i
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The matrix m's transpose:
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| 7 | 5 |
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| 6+i | 3 |
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The matrix m's diagonal:
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| 7 |
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| 3 |
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The matrix m's off diagonal:
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| 6+i |
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| 5 |
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The matrix n
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| 2 | 1+i |
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| 1-i | 5 |
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The determinant of matrix n:
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8
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The matrix m * n
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| 21-5i | 37+12i |
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| 13-3i | 20+5i |
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The matrix m is not hermitian, here is the hermitian conjugate:
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| 7 | 5 |
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| 6-i | 3 |
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The matrix n is hermitian, here is the hermitian conjugate:
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| 2 | 1+i |
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| 1-i | 5 |
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```
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